Introduction to the Relativistic String Theory

Barbashov, B. M.; Nesterenko, V. V.; Dumbrajs, T Yu

doi:10.1142/0679

Cited by 152 publications

(243 citation statements)

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“…In the elementary particle theory the models like (5.1) are known as the rigid relativistic string [23,33]. One of the motivations to consider such strings was the attempt to develop string description for quantum chromodynamics.…”

Section: Resultsmentioning

confidence: 99%

Functionals linear in curvature and statistics of helical proteins

2005

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The effective free energy of globular protein chain is considered to be a functional defined on smooth curves in three dimensional Euclidean space. From the requirement of geometrical invariance, together with basic facts on conformation of helical proteins and dynamical characteristics of the protein chains, we are able to determine, in a unique way, the exact form of the free energy functional. Namely, the free energy density should be a linear function of the curvature * E-mail: feoli@unisannio.it; fax: +39089965275 † E-mail: nestr@thsun1.jinr.ru ‡ E-mail: scarpetta@sa.infn.it 1 of curves on which the free energy functional is defined. We briefly discuss the possibility of using the model proposed in Monte Carlo simulations of exhaustive searching the native stable state of the protein chain. The relation of the model proposed to the rigid relativistic particles and strings is also considered.

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Section: Resultsmentioning

confidence: 99%

Functionals linear in curvature and statistics of helical proteins

2005

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“…no unphysical singularities at any loop level, and contains no adjustable parameters 6 . Thus, similarly to the perturbative approach, the QCD scale parameter Λ remains the basic characterizing quantity of the theory.…”

Section: Massless Analytic Running Couplingmentioning

confidence: 99%

Massive analytic invariant charge in QCD

2005

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The low energy behavior of a recently proposed model for the massive analytic running coupling of QCD is studied. This running coupling has no unphysical singularities, and in the absence of masses displays infrared enhancement. The inclusion of the effects due to the mass of the lightest hadron is accomplished by employing the dispersion relation for the Adler D function. The presence of the nonvanishing pion mass tames the aforementioned enhancement, giving rise to a finite value for the running coupling at the origin. In addition, the effective charge acquires a "plateau-like" behavior in the low energy region of the timelike domain. This plateau is found to be in agreement with a number of phenomenological models for the strong running coupling. The developed invariant charge is applied in the processing of experimental data on the inclusive τ lepton decay. The effects due to the pion mass play an essential role here as well, affecting the value of the QCD scale parameter Λ extracted from these data. Finally, the massive analytic running coupling is compared with the effective coupling arising from the study of Schwinger-Dyson equations, whose infrared finiteness is due to a dynamically generated gluon mass. A qualitative picture of the possible impact of the former coupling on the chiral symmetry breaking is presented.

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“…For instance, in string theory [1,2], seeking to present a unified description of all fundamental interactions, including gravity, it was derived that string acceleration must be less than some critical value, determined by the string tension and its mass [3][4][5][6][7]. Otherwise in string dynamics the Jeans-like instabilities arise, which lead to unlimited grow of the string length [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

“…It is due to an extremely fast (exponential) grow of the number of levels in the string spectrum when the energy or mass raise [2,8]. At the critical temperature, the statistical weight of the energy levels completely suppresses the Boltzmann factor exp (−E n /T ) and, as a result, the statistical sum of the string ensemble proves to be infinite.…”

Section: Introductionmentioning

confidence: 99%

Regularizing property of the maximal acceleration principle in quantum field theory

Nesterenko¹,

Feoli

Lambiase

et al. 1999

Phys. Rev. D

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It is shown that the introduction of an upper limit to the proper acceleration of a particle can smooth the problem of ultraviolet divergencies in local quantum field theory. For this aim, the classical model of a relativistic particle with maximal proper acceleration is quantized canonically by making use of the generalized Hamiltonian formalism developed by Dirac. The equations for the wave function are treated as the dynamical equations for the corresponding quantum field. Using the Green's function connected to these wave equations as propagators in the Feynman integrals leads to an essential improvement of their convergence properties. 03.70.+k, 03.65.Pm, 11.90.+t Typeset using REVT E X *

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Introduction to the Relativistic String Theory

Cited by 152 publications

References 0 publications

Functionals linear in curvature and statistics of helical proteins

Functionals linear in curvature and statistics of helical proteins

Massive analytic invariant charge in QCD

Regularizing property of the maximal acceleration principle in quantum field theory

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